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Finding the Fourth Proportional to 305,042.46, 457,293 and 115,370.16

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Solution

The fourth proportional to 305,042.46, 457,293 and 115,370.16 is: 172,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,042.46 : 457,293 = 115,370.16 : x
  2. Step 2: Convert to fraction form
    305,042.46/457,293 = 115,370.16/x
  3. Step 3: Cross multiply
    305,042.46x = 457,293 × 115,370.16
  4. Step 4: Simplify right side
    305,042.46x = 52,757,966,576.88
  5. Step 5: Solve for x
    x = 52,757,966,576.88/305,042.46
  6. Step 6: Final answer
    x = 172,952.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.